10101101112 has 40 divisors (see below), whose sum is σ = 28292437800.
Its totient is φ = 3367033488.
The previous prime is 10101101069. The next prime is 10101101137. The reversal of 10101101112 is 21110110101.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10101101094 and 10101101103.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7793412 + ... + 7794707.
It is an arithmetic number, because the mean of its divisors is an integer number (707310945).
Almost surely, 210101101112 is an apocalyptic number.
10101101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10101101112 is an abundant number, since it is smaller than the sum of its proper divisors (18191336688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10101101112 is a wasteful number, since it uses less digits than its factorization.
10101101112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15588137 (or 15588124 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 10101101112 its reverse (21110110101), we get a palindrome (31211211213).
The spelling of 10101101112 in words is "ten billion, one hundred one million, one hundred one thousand, one hundred twelve".